{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Discharge_const_Volume.ipynb", "version": "0.3.2", "provenance": [], "collapsed_sections": [], "toc_visible": true, "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "metadata": { "id": "GGAqCrN9Kbrv", "colab_type": "text" }, "cell_type": "markdown", "source": [ "# Расчёт пневмосистем" ] }, { "metadata": { "id": "UwTnf-LyZOkt", "colab_type": "text" }, "cell_type": "markdown", "source": [ "## Истечение газа из ёмкости постоянного объема\n", "\n", "По книге \n", "Е. В. Герц, Г. В. Крейнин Расчёт пневмоприводов\n", "Справочное пособие\n", "М.: Машиностроение, 1975." ] }, { "metadata": { "id": "L6tkFoNRLCS-", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "import math\n", "import scipy\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "\n", "import matplotlib.pylab as pylab\n", "params = {'legend.fontsize': 14, 'figure.figsize': (10, 7), 'axes.labelsize': 14,\n", " 'axes.titlesize':14, 'xtick.labelsize':14,'ytick.labelsize':14}\n", "pylab.rcParams.update(params)" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "L2Rigl_2KyFV", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Дана ёмкость с постоянным объемом $V_1$ и начальным давлением $p_1$, соединенная со средой с давлением $p_a$. Из ёмкости через отверстие с эффективной площадью $f$ начинает истекать газ. Процесс происходит без теплообмена с окружающей средой.\n", "\n", "Найти закон изменения давления в ёмкости." ] }, { "metadata": { "id": "ms2XjCKRK3K7", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "# Ускорение свободного падения\n", "g = 9.807\n", "# Газовая постоянная, \n", "R = 29.27\n", "# Температура, К\n", "T = 280.0\n", "# Показатель адиабаты\n", "k = 1.4\n", "# Критическое соотношение давлений\n", "sk = (2/(k+1))**(k/(k-1))" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "G8KOh3lVds-Q", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "# Объём ёмкости м3\n", "V1 = 0.018\n", "# Начальное давление в ёмкости, кгс/м2\n", "p1 = 5.0e4\n", "# Эффективная площадь отверстия м2\n", "f = 0.7*1.76e-4\n", "# Давление среды, кгс/м2\n", "pa = 1.0e4" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "b2kC9ZdUWxW-", "colab_type": "text" }, "cell_type": "markdown", "source": [ "### Весовой расход газа\n", "\n", "$$\n", "\\sigma = \\frac{p_2}{p_1}\n", "$$\n", "\n", "При $\\sigma < \\sigma^*$ (надкритический расход)\n", "$$\n", " G_m = \\sqrt{\\frac{2 k g}{k-1}} \\frac{fp_1 \\varphi(\\sigma^*)}{\\sqrt{RT}}\n", "$$\n", "\n", "Для $\\sigma > \\sigma^*$ (подкритический расход)\n", "$$\n", " G_m = \\sqrt{\\frac{2 k g}{k-1}} \\frac{fp_1 \\varphi(\\sigma)}{\\sqrt{RT}}\n", "$$\n", "\n", "где \n", "\n", "$$\n", "\\sigma = \\frac{p_2}{p_1}, \\quad \\sigma^* = \\left(\\frac{2}{k+1}\\right)^{k/(k-1)},\\quad \\varphi(\\sigma) = \\sqrt{\\sigma^{2/k}-\\sigma^{(k+1)/k}}\n", "$$" ] }, { "metadata": { "id": "6gf4GM79M34W", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "\n", "def Gm(p1, p2, f):\n", " '''\n", " Функция вычисляет весовой расход газа (кгс/с)\n", " при истечении из емкости с давлением p1 (кгс/м2)\n", " в ёмкость c давлением p2 (кгс/м2) (p2 < p1) \n", " через отверстие с эффективной площадью f (м2) \n", " ''' \n", " # Соотношение давлений (куда/откуда)\n", " s = p2/p1\n", " phi = lambda x: math.sqrt(x**(2.0/k)-x**((k+1.0)/k)) \n", " \n", " if s < sk:\n", " # Надкритический расход (истечение со скоростью звука)\n", " # Вместе с вычисленным расходом передаем признак 1 \n", " res = [1, math.sqrt(2*k*g/(k-1))*f*p1*phi(sk)/math.sqrt(R*T)]\n", " else:\n", " # Подкритический расход\n", " # Вместе с вычисленным расходом передаем признак 0\n", " res = [0, math.sqrt(2*k*g/(k-1))*f*p1*phi(s)/math.sqrt(R*T) ]\n", " \n", " return res" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "RVcwoYAwY8-o", "colab_type": "text" }, "cell_type": "markdown", "source": [ "### Дифференциальное уравнение изменения давлени в ёмкости" ] }, { "metadata": { "id": "I6E5RWlEWVsT", "colab_type": "text" }, "cell_type": "markdown", "source": [ "$$\n", "\\frac{dp_1}{dt} = - \\frac{G_m k R T}{V_1}\n", "$$" ] }, { "metadata": { "id": "PZZ3jUueNirg", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "def dp1dt(t, q): \n", " '''\n", " Функция правой части дифференциального уравнения dp1/dt = ...\n", " '''\n", " p1 = q[0] \n", " gm = -Gm(p1, pa, f)[1] \n", " return gm*k*R*T/V1" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "Z2CVA374ZF9z", "colab_type": "text" }, "cell_type": "markdown", "source": [ "### Результаты интегрирования" ] }, { "metadata": { "id": "9QttuV7MOlg8", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "sol = scipy.integrate.solve_ivp(dp1dt, [0, 1], [p1], method='LSODA', rtol = 1e-10)\n", "# Извлекаем давление из результатов интегрирования\n", "pt = sol.y.flatten()\n", "# Вычисляем расход по полученным результатам интегрирования\n", "Gt = np.array([ Gm(x, pa, f) for x in pt ])" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "tk96rs8In88m", "colab_type": "text" }, "cell_type": "markdown", "source": [ "График изменения давления в ёмкости" ] }, { "metadata": { "id": "yceGs4J_PbP1", "colab_type": "code", "outputId": "23d645ec-65ac-4449-d1d1-93bfd2e75d01", "colab": { "base_uri": "https://localhost:8080/", "height": 450 } }, "cell_type": "code", "source": [ "plt.plot(sol.t[Gt[:,0]>0],pt[Gt[:,0]>0]/1e4,'r',sol.t[Gt[:,0]<1],pt[Gt[:,0]<1]/1e4,'g');\n", "plt.legend(['Надкритический режим','Подкритический режим'])\n", "plt.xlim([0,1]);plt.xlabel('t, c');plt.ylabel('p, кгс/см$^2$');" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnoAAAGxCAYAAAD1bRvmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "69faMw8-n4RG", "colab_type": "text" }, "cell_type": "markdown", "source": [ "График весового расхода газа" ] }, { "metadata": { "id": "a7a3RDoEb2ha", "colab_type": "code", "outputId": "3b11b075-ba90-47fc-f5d3-1d3f53f6b527", "colab": { "base_uri": "https://localhost:8080/", "height": 450 } }, "cell_type": "code", "source": [ "plt.plot(sol.t[Gt[:,0]>0],Gt[Gt[:,0]>0,1],'r',sol.t[Gt[:,0]<1],Gt[Gt[:,0]<1,1],'g');\n", "plt.legend(['Надкритический режим','Подкритический режим'])\n", "plt.xlim([0,0.9]);plt.xlabel('t, c');plt.ylabel('Весовой расход, кгс/c');" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnoAAAGxCAYAAAD1bRvmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noTjoEREREWmo/wdUsfri7nsi3gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "-gP6kRKHn6rk", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "" ], "execution_count": 0, "outputs": [] } ] }